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Math Help - Vector space

  1. #1
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    Vector space

    S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

    find a linearly independent subset S1 of S such that,L(S1)=L(S).
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by sbcd90 View Post
    S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

    find a linearly independent subset S1 of S such that,L(S1)=L(S).
    s_1=s_4-s_3

    s_2=4s_3-s_4

    and obviously L(S) is 2-dimensional, so L(\{s_3,s_4\})=L(S)

    CB
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